Design and code a TM that performs the "div" operation on "unary" numbers and test it under the TM Simulator. Here are some sample runs:

ASCSC$1$PP$629$W$1$:hw$6$ raj$ python$3$ TM$.$py div.tm saaaaaaadaaa$=$ Initial Tape: saaaaaaadaaa$=1^$ Final Tape: saaaaaaadaaa$=$aa h $^$ ACCEPT ASCSC$1$PP$629$W$1$:hw$6$ raj$ python$3$ TM$.$py div.tm saaaaaaadaaaa$=$ Initial Tape: saaaaaaadaaaa$=1^$ Final Tape: saaaaaaadaaaa$=$a h $^$ ACCEPT ASCSC$1$PP$629$W$1$:hw$6$ raj$ python$3$ TM$.$py div.tm saadaaaa$=$ Initial Tape: saadaaaa$=1^$ Final Tape: saadaaaa$=$# h $^$ ACCEPT ASCSC$1$PP$629$W$1$:hw$6$ raj$ $1.$ Design a TM that performs the "div" operation on "unary" numbers and test it under the TM Simulator. Here are some sample runs:

$```$

ASCSC$1$PP$629$W$1$:hw$6$ raj$ python$3$ TM$.$py div.tm saaaaaaadaaa$=$

Initial Tape:

saaaaaaadaaa$=1$

Final Tape:

saaaaaaadaaa$=$aa h

$```$

ACCEPT

$```$

ASCSC$1$PP$629$W$1$:hw$6$ raj$ python$3$ TM$.$py div.tm saaaaaaadaaaa$=$

Initial Tape:

saaaaaaadaaaa$=1$

Final Tape:

saaaaaaadaaaa$=$a h

$```$

ACCEPT

ASCSC$1$PP$629$W$1$:hw$6$ raj$\backslash$$ python$3$ TM$.$py div.tm saadaaaa$=$

Initial Tape:

saadaaaa$=1$

Final Tape:

saadaaaa$=\backslash$# h

ACCEPT

ASCSC$1$PP$629$W$1$:hw$6$ raj$\backslash$$ Similar to this format where h is the hald state and # if a cell is not occupied, a blank cell.$-\%\%$ This TM accepts strings made up of a$\text{'}$s and b$\text{'}$s

$\%\%$ with equal number of a$\text{'}$s and b$\text{'}$s

$1,1,$b$,$b$,$r

$1,1,$x$,$x$,$r

$1,2,$a$,$x$,$l

$1,5,$#$,$#$,$l

$2,2,$x$,$x$,$l

$2,2,$b$,$b$,$l

$2,3,$#$,$#$,$r

$3,3,$a$,$a$,$r

$3,3,$x$,$x$,$r

$3,4,$b$,$x$,$l

$4,4,$a$,$a$,$l

$4,4,$x$,$x$,$l

$4,1,$#$,$#$,$r

$5,5,$x$,$x$,$l

$5,$h$,$#$,$#$,$r$.........$MAKE THE ENTIRE TM AND do it in the format of current state, next state, read, write, move. with # representing blank cells, and h as the halt state.